Least Common Multiple of 4891 and 4895
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4891 and 4895 the smallest integer that is 23941445 that is divisible by both numbers.
Least Common Multiple (LCM) of 4891 and 4895 is 23941445.
LCM(4891,4895) = 23941445
LCM of 4891 and 4895
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4891 and 4895 by Prime method
- Least Common Multiple of 4891 and 4895 with GCF Formula
LCM of 4891 and 4895 is 23941445
Least common multiple can be found by multiplying the highest exponent prime factors of 4891 and 4895. First we will calculate the prime factors of 4891 and 4895.
Prime Factorization of 4891
| 67 | 4891 |
| 73 | 73 |
| 1 |
Prime factors of 4891 are 67,73. Prime factorization of 4891 in exponential form is:
4891 = 671×731
Prime Factorization of 4895
| 5 | 4895 |
| 11 | 979 |
| 89 | 89 |
| 1 |
Prime factors of 4895 are 5, 11,89. Prime factorization of 4895 in exponential form is:
4895 = 51×111×891
Now multiplying the highest exponent prime factors to calculate the LCM of 4891 and 4895.
LCM(4891,4895) = 51×111×671×731×891
LCM(4891,4895) = 23941445
Factors of 4891
List of positive integer factors of 4891 that divides 4891 without a remainder.
1, 67, 73, 4891
Factors of 4895
List of positive integer factors of 4895 that divides 4895 without a remainder.
1, 5, 11, 55, 89, 445, 979, 4895
Least Common Multiple of 4891 and 4895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4891 and 4895, than apply into the LCM equation.
GCF(4891,4895) = 1
LCM(4891,4895) = ( 4891 × 4895) / 1
LCM(4891,4895) = 23941445 / 1
LCM(4891,4895) = 23941445
Properties of LCM 4891 and 4895
(i) The LCM of 4895 and 4891 is associative
LCM of 4891 and 4895 = LCM of 4895 and 4891
Related Least Common Multiples of 4891
Related Least Common Multiples of 4895
Frequently Asked Questions on LCM of 4891 and 4895
1. What is the LCM of 4891 and 4895?
Answer: LCM of 4891 and 4895 is 23941445.
2. What are the Factors of 4891?
Answer: Factors of 4891 are 1, 67, 73, 4891. There are 4 integers that are factors of 4891. The greatest factor of 4891 is 4891.
3. What are the Factors of 4895?
Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.
4. How to Find the LCM of 4891 and 4895?
Answer:
Least Common Multiple of 4891 and 4895 = 23941445
Step 1: Find the prime factorization of 4891
4891 = 67 x 73
Step 2: Find the prime factorization of 4895
4895 = 5 x 11 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23941445 = 5 x 11 x 67 x 73 x 89
Step 4: Therefore, the least common multiple of 4891 and 4895 is 23941445.